Not sure why you are trying but failing to make this a party-political issue Svejk ? The recommendations of the Leveson Enquiry had wide spread cross-party support. I come back to my point.....voluntary regulation by the Press Complaints Commission has proven to be entirely useless. Giving the Press the power to regulate itself is akin to putting Herod in charge child welfare issues.
Attached is the Wiki entry for the PCC ::
http://en.wikipedia.org/wiki/Press_Complaints_Commission
Important paragraph from the above link ::
"The PCC received extensive criticism for its lack of action in the News of the World phone hacking affair, including from MPs and Prime Minister David Cameron, who called for it to be replaced with a new system in July 2011. The Leveson Inquiry was set up and reported in November 2012 but there since has been deadlock over its proposals for self-regulation despite the establishment of a Royal Charter on self-regulation of the press "